1. A throws a coin 3 times. If he gets a head all the three times he is to get a prize of Rs. 160. The entry fee for the game is Rs. 16. What is the mathematical expectation of A ?
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- c) A manufacturer is considering the production of a new and better mousetrap. She estimates the probability that the new mousetrap is successful is ¾. If it is successful, it would generate profits of $174,000. The development costs of the mousetrap are $121,000. Should the manufacturer proceed with plans for the new mousetrap? Why or why not?← Your company bids for two contracts. You believe the probability that you get contract #1 is 0.7. If you get contract #1, the probability you also get contract #2 will be 0.5, and if you do not get contract #1, the probability that you get contract #2 will be 0.2. Complete parts a through e below. a) Are the outcomes of the two contracts bids independent? Explain. OA. No; the outcome of the first contract determines the probability of getting the second contract. OB. No; no events are independent. OC. Yes; the outcome of the first contract has no impact on the second contract. OD. Yes; all events are independent. b) Find the probability you get both contracts. (Type an integer or a decimal. Do not round.) c) Find the probability you get neither contracts. (Type an integer or a decimal. Do not round.) d) Let X be the number of contracts you get. Find the probability model for X. 0 1 2 X P(x) (Type integers or decimals. Do not round.) e) Find the expected value and standard deviation…After giving the lotto a try you decide to go back to Clayton Campus for some more gambling action. Theyare playing a die tossing game where you win a brand new home if you roll all sides of the die within 7rolls. Your crystal ball can see into the future and tells you that when you roll the die 7 times you don't seethe same number appear twice in a row. You decide to bet your entire rent for the year and try to win thehouse. You toss a fair six-sided die 7 times. Consider the following events, A = “each value appears atleast once” and B = “the outcome is alternate in numbers (i.e., a specific face of the die cannot be observed to occur directly after it was observed on the previous roll but it may have occurred elsewhere inthe sequence of rolls)”. What is p(A|B)? Are you likely to win the house?
- Answer A,B,CPlease solve and dont copy wrong answers. ThankyouYou purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent
- In a bag there are 8 red balls, and 2 pink balls. You pay 3 dollars to draw 2 balls. If you draw 2 red balls you lose, if you draw a red and pink you win 8 dollars, and if you draw 2 pink you get 90 dollars. Find the expected value of this game and round you answer to the nearest cent.Q#7: Solve neat and stepwise as required: In a class of 30 students, 17 are boys and the rest are girls. On a monthly math's test, four boys and five girls made A grades. If a student is chosen at random from the class, what then is the probability? i. ii. Of a boy and a grade A student? Of a girl or a grade A student? Of a boy or a grade A student? iii.Please help me with this questions. thank you!
- need the solves asapPlease help!!! Q4. Ariana and Bella are playing a game. They each have 4 cards, which are numbered 1, 2, 3 and 4. Each shuffles her own cards and turns one over at random. If the cards show the same number, Ariana wins and Bella must pay Ariana $3. If the cards show different numbers, Bella wins and Ariana must pay Bella $1. By finding the probabilities of Ariana and Bella winning, show whether or not the game is fair.Leah is flying from Moncton to Vancouver with connection in Montreal. The proba- bility that her first flight leaves on time is 0.15. If the flight is on time, the probability that her luggage will make the connecting flight in Montreal is 0.95, but if the first is Practice q # 25 p.197 delayed, the probability that the luggage will make it is only 0.65. chap 7 Are the first flight leaving on time and the luggage making the connection independent events? Explain. What is the probability that Leah's luggage arrives in Vancouver with a. b. her?
